1. lim(x->-1) (x^3-2x^2+5) = (-1)^3 - 2*(-1)^2 + 5 = -1 - 2 + 5 = 2
2, x^2-x-2=(x+1)(x-2)
lim(x->1) (x^2-x-2)/(x+1)= lim(x->1) (x+1)(x-2)/(x+1) = lim(x->1)(x-2)= 1-2=-1
3. lim(x->-1) (x^2-x-2)/(x+1)= lim(x->-1) (x+1)(x-2)/(x+1) = lim(x->-1)(x-2)= -1-2=-3
4. lim(x->0)(2x+1 + (0.5x+x^2)/x)= lim(x->0) (2x+1 + 0.5 + x) = lim(x->0) (3x+1.5)= 3*0+1.5=1.5